Least Common Multiple of 8967 and 8972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8967 and 8972 the smallest integer that is 80451924 that is divisible by both numbers.

Least Common Multiple (LCM) of 8967 and 8972 is 80451924.

LCM(8967,8972) = 80451924

LCM of 8967 and 8972

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8967 and 8972

LCM of 8967 and 8972 is 80451924

Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8972. First we will calculate the prime factors of 8967 and 8972.

Prime Factorization of 8967


3 8967
7 2989
7 427
61 61
1

Prime factors of 8967 are 3, 7,61. Prime factorization of 8967 in exponential form is:

8967 = 31×72×611

Prime Factorization of 8972


2 8972
2 4486
2243 2243
1

Prime factors of 8972 are 2,2243. Prime factorization of 8972 in exponential form is:

8972 = 22×22431

Now multiplying the highest exponent prime factors to calculate the LCM of 8967 and 8972.

LCM(8967,8972) = 22×31×72×611×22431
LCM(8967,8972) = 80451924

Factors of 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1, 2, 4, 2243, 4486, 8972

Least Common Multiple of 8967 and 8972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8967 and 8972, than apply into the LCM equation.

GCF(8967,8972) = 1
LCM(8967,8972) = ( 8967 × 8972) / 1
LCM(8967,8972) = 80451924 / 1
LCM(8967,8972) = 80451924

Properties of LCM 8967 and 8972

(i) The LCM of 8972 and 8967 is associative

LCM of 8967 and 8972 = LCM of 8972 and 8967

Related Least Common Multiples of 8967

Related Least Common Multiples of 8972

Frequently Asked Questions on LCM of 8967 and 8972

1. What is the LCM of 8967 and 8972?

Answer: LCM of 8967 and 8972 is 80451924.

2. What are the Factors of 8967?

Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.

3. What are the Factors of 8972?

Answer: Factors of 8972 are 1, 2, 4, 2243, 4486, 8972. There are 6 integers that are factors of 8972. The greatest factor of 8972 is 8972.

4. How to Find the LCM of 8967 and 8972?

Answer:

Least Common Multiple of 8967 and 8972 = 80451924

Step 1: Find the prime factorization of 8967

8967 = 3 x 7 x 7 x 61

Step 2: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 80451924 = 2 x 2 x 3 x 7 x 7 x 61 x 2243

Step 4: Therefore, the least common multiple of 8967 and 8972 is 80451924.